tgms3j5wtu tgms3j5wtu
  • 03-01-2022
  • Mathematics
contestada

What is the value of x in the triangle?
х
45°
45°
12 v2
A. 122
B. 24
OC.
12
OD 6V2

What is the value of x in the triangle х 45 45 12 v2 A 122 B 24 OC 12 OD 6V2 class=

Respuesta :

itsandypandy
itsandypandy itsandypandy
  • 03-01-2022

Answer:

B) 24

Step-by-step explanation:

⇒ [tex]sin\alpha = \frac{O}{H}[/tex]   [Using SOHCAHTOA]

⇒ [tex]sin(45) = \frac{12\sqrt{2} }{x}[/tex]   [Substitute in values]

⇒ [tex]x = \frac{12\sqrt{2} }{sin(45)}[/tex]   [Rearrange to make x the subject]

⇒ [tex]x = 24[/tex]

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